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395422984 = 231119613877
BaseRepresentation
bin10111100100011…
…010110100001000
31000120001120100201
4113210122310020
51302212013414
6103123141544
712541016455
oct2744326410
91016046321
10395422984
1119322a160
12b05148b4
1363bcb1c8
143a73282c
1524aac574
hex1791ad08

395422984 has 64 divisors (see below), whose sum is σ = 865569600. Its totient is φ = 167443200.

The previous prime is 395422981. The next prime is 395422991. The reversal of 395422984 is 489224593.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (395422981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100054 + ... + 103930.

It is an arithmetic number, because the mean of its divisors is an integer number (13524525).

Almost surely, 2395422984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395422984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432784800).

395422984 is an abundant number, since it is smaller than the sum of its proper divisors (470146616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

395422984 is a wasteful number, since it uses less digits than its factorization.

395422984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3970 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 395422984 is about 19885.2453844553. The cubic root of 395422984 is about 733.9852001758.

The spelling of 395422984 in words is "three hundred ninety-five million, four hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 19 22 38 44 61 76 88 122 152 209 244 418 488 671 836 1159 1342 1672 2318 2684 3877 4636 5368 7754 9272 12749 15508 25498 31016 42647 50996 73663 85294 101992 147326 170588 236497 294652 341176 472994 589304 810293 945988 1620586 1891976 2601467 3241172 4493443 5202934 6482344 8986886 10405868 17973772 20811736 35947544 49427873 98855746 197711492 395422984